Stability Analysis of the Grid-Connected Inverter Considering the Asymmetric Positive-Feedback Loops Introduced by the PLL in Weak Grids

The stability of the grid-connected inverter (GCI) system in weak grids is deteriorated due to the asymmetric positive-feedback loops (APFLs) introduced by the phase-locked loop (PLL) structure. Under the same main circuit parameters and control loop parameters, the small-signal models of the GCI controlled in dq domain and αβ domain are constructed, respectively. Compared with the small-signal model of the GCI controlled in dq domain, the number of APFLs introduced by the PLL of GCI controlled in αβ domain is one less. Moreover, the mechanism why the stability of the GCI controlled in αβ domain is stronger than that controlled in dq domain is analyzed. Meanwhile, the influence degree and mechanism of the APFLs in different paths of the small-signal models for the stability of GCI are revealed for the first time. This lays a theoretical foundation for the analysis and design of asymmetric control strategies used to improve the stability of GCI in weak grids. Finally, simulations and experiments verify the correctness of the theoretical analysis.